How to Find GCF of 9755/618, 1499/7669?

GCF of 9755/618, 1499/7669

Created By : Veerendra
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023

Use our free GCF of Fractions Calculator tool to compute the GCF of 9755/618, 1499/7669 i.e 1/4739442 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9755/618, 1499/7669.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

What is the GCF of 9755/618,1499/7669?

Given fractions are 9755/618,1499/7669

To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by

GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators

In the fractions 9755/618,1499/7669, numerators are 9755,1499

Denominators are 618,7669

The GCF of 9755,1499 is 1 .

LCM of 618,7669 is 4739442.

The greatest common factor of 9755/618,1499/7669 = [GCF of 9755,1499]/[LCM of 618,7669]= 1/4739442

Therefore, the GCF of 9755/618,1499/7669 is 1/4739442.

Greatest Common Factor of 9755,1499

To find the highest common factor of 9755,1499, we have to find the factors of both numbers and list the highest common factor.

The factors of 9755 are 1, 5, 1951, 9755

The factors of 1499 are 1, 1499

The HCF of 9755,1499 is 1.

Lets's calculate GCF of 9755,1499

Greatest Common Factor (GCF) of 9755,1499 By Common Division

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 9755,1499 By Matching Biggest Common Factor Method

Now, list down the factors of 9755

1,5,1951,9755

Now, list down the factors of 1499

1,1499

Greatest Common Factor

We found the factors 9755,1499 . The biggest common factor number is the GCF number.
So the greatest common factor 9755,1499 is 1.

Lets's calculate LCM of 618,7669

Lowest Common Multiple of 618,7669 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 4739442

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4739442

Therefore, the GCF of Fractions 9755/618,1499/7669 is 1/4739442

Least Common Multiple of 618,7669 with GCF Formula

The formula of LCM is LCM(a₁,a₂,a₃....,a_n) = ( a₁ × a₂ × a₃ × .... × a_n) / GCF(a₁,a₂,a₃....,a_n) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 618,7669 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(618,7669) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(618,7669) x common factors =1 x 1 = 1

LCM(618,7669) = ( 618 × 7669 ) / 1

LCM(618,7669) = 4739442 / 1

LCM(618,7669) = 4739442

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FAQs on GCF of Fractions of 9755/618, 1499/7669

1. What is the HCF of 9755,1499?

The HCF of 9755,1499 is 1

2. What is the GCF of a fraction?

The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.

3. How to find GCF in Fractions?

Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.

4. What is the GCF of Fractions for 9755/618, 1499/7669?

Answer: GCF of Numerators as per given numbers 9755/618, 1499/7669 is

GCF of Numerators i.e. for 9755,1499 is 1

LCM of denominators i.e. for 618,7669 is 4739442.

Thus, GCF of Fractions is 1/4739442.Finally, GCF of Fractions for 9755/618, 1499/7669 is 1/4739442.